8 A van, of mass 2000 kg , is towed up a slope inclined at \(5 ^ { \circ }\) to the horizontal. The tow rope is at an angle of \(12 ^ { \circ }\) to the slope. The motion of the van is opposed by a resistance force of magnitude 500 newtons. The van is accelerating up the slope at \(0.6 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
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Model the van as a particle.
- Draw a diagram to show the forces acting on the van.
- Show that the tension in the tow rope is 3480 newtons, correct to three significant figures.